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Finding the Fourth Proportional to 996.69, 1,495.04 and 312.69

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Solution

The fourth proportional to 996.69, 1,495.04 and 312.69 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.69 : 1,495.04 = 312.69 : x
  2. Step 2: Convert to fraction form
    996.69/1,495.04 = 312.69/x
  3. Step 3: Cross multiply
    996.69x = 1,495.04 × 312.69
  4. Step 4: Simplify right side
    996.69x = 467,482.49
  5. Step 5: Solve for x
    x = 467,482.49/996.69
  6. Step 6: Final answer
    x = 469.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.